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igor_vitrenko [27]
3 years ago
8

Un instructor desea preparar un experimento sobre movimiento armónico simple. Sólo dispone de una masa de 2 kg pero tiene una co

lección de resortes. ¿Qué constante elástica, en N/m, debe elegir para tener un período de 2 s?
Biology
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

Constante de resorte, k = 19.745 N/m

Explanation:

<u>Dados los siguientes datos;</u>

Masa, m = 2 kg

Periodo, T = 2 segundos

Para encontrar la constante del resorte, k;

Period, \; T = 2 \pi \sqrt {\frac {m}{k}}

Dónde;

  • T es el período.
  • m es la masa del objeto.
  • k es la constante del resorte.

Haciendo k el tema de la fórmula, tenemos;

k = \frac {(2 \pi )^{2}m}{T^{2}}

Sustituyendo en la fórmula, tenemos;

k = \frac {(2 * 3.142)^{2} * 2}{2^{2}}

k = \frac {6.284^{2} * 2}{4}

k = \frac {39.49 * 2}{4}

k = \frac {78.98}{4}

<em>Constante de resorte, k = 19.745 N/m</em>

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